Search a number
-
+
829390229 is a prime number
BaseRepresentation
bin110001011011110…
…111110110010101
32010210122101111122
4301123313312111
53144310441404
6214144413325
726360462213
oct6133676625
92123571448
10829390229
11396195178
121b1917245
13102aa3465
147c219cb3
154cc303be
hex316f7d95

829390229 has 2 divisors, whose sum is σ = 829390230. Its totient is φ = 829390228.

The previous prime is 829390207. The next prime is 829390231. The reversal of 829390229 is 922093928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 802588900 + 26801329 = 28330^2 + 5177^2 .

It is a cyclic number.

It is not a de Polignac number, because 829390229 - 212 = 829386133 is a prime.

Together with 829390231, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 829390229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829390249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414695114 + 414695115.

It is an arithmetic number, because the mean of its divisors is an integer number (414695115).

Almost surely, 2829390229 is an apocalyptic number.

It is an amenable number.

829390229 is a deficient number, since it is larger than the sum of its proper divisors (1).

829390229 is an equidigital number, since it uses as much as digits as its factorization.

829390229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 829390229 is about 28799.1359071761. The cubic root of 829390229 is about 939.5494404030.

The spelling of 829390229 in words is "eight hundred twenty-nine million, three hundred ninety thousand, two hundred twenty-nine".